All types implies torsion
Abstract: We prove the following theorem. Given a positive integer and a subset of with the following properties: (1) for every in the inequality holds, and (2) for every in there exists an in with for , there exists a subset of such that modulo the subgroup generated by contains a nontrivial torsion element.
McA. Gordon and J.
Luecke, Knots are determined by their
complements, J. Amer. Math. Soc.
2 (1989), no. 2,
C. McA. Gordon and J. Luecke, Knots are determined by their complements, Bull. Amer. Math. Soc. (N.S.) 20 (1989), no. 1, 83–87. MR 972070, https://doi.org/10.1090/S0273-0979-1989-15706-6
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